There is nothing in the law of physics that says the time arrow and the entropy arrow must flow in the same direction that we are used to
By this I mean things become more disordered with time IE a house will eventually collapse but will never rebuild itself
Hawkings considers it a great mystery why time does not "flow backwards" other than to speculate that simply is the only way a universe can exist
Indeed, according to the law of chaos time can indeed flow back wards (a broken cup repair itself) although it is highly unlikely to do so it is not impossible
If the universe ends with a big crunch time may start flowing back wards
By this I mean things become more disordered with time IE a house will eventually collapse but will never rebuild itself
Hawkings considers it a great mystery why time does not "flow backwards" other than to speculate that simply is the only way a universe can exist
Indeed, according to the law of chaos time can indeed flow back wards (a broken cup repair itself) although it is highly unlikely to do so it is not impossible
If the universe ends with a big crunch time may start flowing back wards